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Finding the Fourth Proportional to 342,285.44, 513,000 and 164,744.96

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Solution

The fourth proportional to 342,285.44, 513,000 and 164,744.96 is: 246,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,285.44 : 513,000 = 164,744.96 : x
  2. Step 2: Convert to fraction form
    342,285.44/513,000 = 164,744.96/x
  3. Step 3: Cross multiply
    342,285.44x = 513,000 × 164,744.96
  4. Step 4: Simplify right side
    342,285.44x = 84,514,164,480
  5. Step 5: Solve for x
    x = 84,514,164,480/342,285.44
  6. Step 6: Final answer
    x = 246,911.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.